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When a particle is dropped from rest relative to the surface of the earth at a latitude y, the initial apparent acceleration is the relative acceleration due to gravity grel. The absolute acceleration due to gravity g is directed toward the center of the earth. Derive an expression for grel in terms of g, R, ω, and y, where R is the radius of the earth treated as a sphere and ω is the constant angular velocity of the earth about the polar axis considered fixed. (Although axes x-y-z are attached to the earth and hence rotate, we may use Eq. 3/50 as long as the particle has no velocity relative to x-y-z).
The Washington Monument is 169 m tall. What is the stress in the lowermost rock if it is made of Georgia granite?
If the live load on a 30 foot long beam is 1.2 kip/feet and the dead load is 0.8 kip/feet determine the maximum moment in the beam (kip-ft) if it is pinned at both ends. Assume the weight of the steel is 0.3 kip/feet.
Constructing the foundation causes changes in the levels of vertical stress at all points in the soil. One such point lies at the centre of the footing plan and is at a depth of 10m. Determine the increment of vertical stress there.
Three soil borings were performed at the site of a structure and the SPT blow counts at each depth are shown below. (Do not make any corrections to the blow counts.
The soil properties are Cc = 0.4, Cr = 0.1 and fsat = 18 kN/m3 for both clays, and the water table is 1 m below the soil surface. Determine the settlements when a stress of 60 kPa is applied by the building.
using a prism and prism pole in conjunction with a total station, the bottom of the prism pole is placed on point A. the distance from the bottom of the prism pole to the center of the prism (HR) is 4.97 feet.
The pump curve for a given pump is represented by hp,pump=20 (1-(Q/100)^2) where hp,pump is the head provided by the pump in feet and Q is the discharge in gpm.
What percentage removal should be expected for each of the following particle settling velocities in an ideal sedimentation tank: 0.1 mm/s, 0.2 mm/s, 1 mm/s.
If the performance of an entire system, due to the actions and interactions of its component subsystems, is measured as being greater than the sum of the performance of the individual subsystems' actions if they operated independently then we have ob..
A student in the laboratory plans to exert a vacuum in the head space above a surface of water in a closed tank. She plans for the the absolute pressure in the tank to be 10,400 Pa. The temperature in the lab is 20°C. Will water bubble into the vapor..
For a groundwater hydrology problem, if you have an unconfined aquifer, and someone inserts an impermeable wall into the middle of it (a wall that starts at the bottom and does not stretch the full height of the aquifer),
Knowing that these forces are equivalent to a force-couple system at C consisting of the force C= (- 8 N)i+ (4 N)k and the couple Mc =(360 N ⋅ m)i, determine the forces applied at A and B when Az = 2 N.
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